| Presentation | 2014-08-01 Evaluation of algorithm for the reliability of a 3-dimensional k-system Tomoaki AKIBA, Natsumi TAKAHASHI, Yoshiki WATANABE, Hisashi YAMAMOTO, |
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| Abstract(in Japanese) | (See Japanese page) |
| Abstract(in English) | As some types of 2-dimensional consecutive-k-out-of-n:F system, there are connected-(r,s)-out-of-(m,n):F lattice system. For such a system, some methods for calculating its reliability and upper and lower bounds of the reliability have been studied by many researchers. Furthermore, several researches had dealt with the reliability of higher dimensional systems. In this study, we consider a kind of 3-dimensional consecutive-k-out-of-n:F systems, called the 3-dimensional connected-(r_1,r_2,r_3)-out-of-(n_1,n_2,n_3):F lattice system. An enumeration method is applicable to evaluate the exact system reliability only for very small-sized systems, because, when the size of system is large, it takes huge execution time. Therefore, we provide useful for calculating the reliability of this system in a reasonable execution time. In this study, we propose the recursive algorithm for calculating exact reliability of a 3-dimensional connected-(r_1,r_2,r_3)-out-of-(n_1,n_2,n_3):F lattice system, by enhancing the basic idea applied for 2-dimentional case. |
| Keyword(in Japanese) | (See Japanese page) |
| Keyword(in English) | 3-dimensional connected-(r_1,r_2,r_3)-out-of-(n_1,n_2,n_3):F lattice system / Recursive Algorithm |
| Paper # | R2014-20 |
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| Committee | R |
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| Conference Date | 2014/7/25(1days) |
| Place (in Japanese) | (See Japanese page) |
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| Topics (in Japanese) | (See Japanese page) |
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| Paper Information | |
| Registration To | Reliability(R) |
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| Language | JPN |
| Title (in Japanese) | (See Japanese page) |
| Sub Title (in Japanese) | (See Japanese page) |
| Title (in English) | Evaluation of algorithm for the reliability of a 3-dimensional k-system |
| Sub Title (in English) | |
| Keyword(1) | 3-dimensional connected-(r_1,r_2,r_3)-out-of-(n_1,n_2,n_3):F lattice system |
| Keyword(2) | Recursive Algorithm |
| 1st Author's Name | Tomoaki AKIBA |
| 1st Author's Affiliation | Faculty of Social Systems Science, Chiba Institute of Technology() |
| 2nd Author's Name | Natsumi TAKAHASHI |
| 2nd Author's Affiliation | Faculty of System Design, Tokyo Metropolitan University |
| 3rd Author's Name | Yoshiki WATANABE |
| 3rd Author's Affiliation | Faculty of Social Systems Science, Chiba Institute of Technology |
| 4th Author's Name | Hisashi YAMAMOTO |
| 4th Author's Affiliation | Faculty of Social Systems Science, Chiba Institute of Technology |
| Date | 2014-08-01 |
| Paper # | R2014-20 |
| Volume (vol) | vol.114 |
| Number (no) | 170 |
| Page | pp.pp.- |
| #Pages | 6 |
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